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Finding the Third Proportional to 323,148 and 661,968

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Solution

The third proportional to 323,148 and 661,968 is: 1,356,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,148 : 661,968 = 661,968 : x
  2. Step 2: Convert to fraction form
    323,148/661,968 = 661,968/x
  3. Step 3: Cross multiply
    323,148x = 661,968 × 661,968
  4. Step 4: Simplify right side
    323,148x = 438,201,633,024
  5. Step 5: Solve for x
    x = 438,201,633,024/323,148
  6. Step 6: Final answer
    x = 1,356,040.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.